Question
Simplify and express each of the following in exponential form.
$\left(\frac{a^5}{a^3}\right) \times a^8$
$\left(\frac{a^5}{a^3}\right) \times a^8$
✓
Answer
We have,
$\left(\frac{a^5}{a^3}\right) \times a^8=\left(a^{5-3}\right) \times a^8=a^2 \times a^8$ $\left[\because a^m \div a^n=a^{m-n}\right]$
$=a^{2+8}=a^{10}\left[\because a^m \times a^n=a^{m+n}\right]$
$\left(\frac{a^5}{a^3}\right) \times a^8=\left(a^{5-3}\right) \times a^8=a^2 \times a^8$ $\left[\because a^m \div a^n=a^{m-n}\right]$
$=a^{2+8}=a^{10}\left[\because a^m \times a^n=a^{m+n}\right]$
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